W-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski)

Authors
Publication date 12-2016
Journal International Journal of Mathematics
Article number 1650110
Volume | Issue number 27 | 13
Number of pages 21
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Faculty of Science (FNWI)
Abstract We derive a Bouchard-Eynard type topological recursion for the total descendant potential of AN-singularity. Our argument relies on a certain twisted representation of a Heisenberg Vertex Operator Algebra (VOA) constructed via the periods of AN-singularity. In particular, our approach allows us to prove that the topological recursion for the total descendant potential is equivalent to a certain generating set of W-algebra constraints.
Document type Article
Language English
Published at https://doi.org/10.1142/S0129167X1650110X
Other links https://www.scopus.com/pages/publications/85007271223
Permalink to this page
Back